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2 years ago

Factor the polynomial with GCF

Mathematics

1 answer:

Vlad [161]2 years ago

3 0

Answer:

3m^2

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

3m^2 p.s. i love bob the tomato;)

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2 years ago

Solve for 5+n/8=4 show your work

Aleks [24]

Answer:

n = -8

Step-by-step explanation:

5+n/8=4

Subtract 5 from each side

5-5+n/8=4-5

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Multiply each side by 8

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2 years ago

If 2y=x³ + 2x², find dy/dx when x=2.

scZoUnD [109]

Answer:

Step-by-step explanation:

$\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}$

<u>Given equation</u>:

$2y=x^3+2x^2$

Isolate y by dividing both sides by 2:

$\implies y=\dfrac{1}{2}x^3+x^2$

Differentiate with respect to x:

$\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}$

$\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x$

Finally, substitute x = 2 into the differentiated equation:

$\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}$

Learn more about differentiation here:

brainly.com/question/27958412

brainly.com/question/26488862

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1 year ago